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Finding the Third Proportional to 106.79 and 164.69

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Solution

The third proportional to 106.79 and 164.69 is: 253.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.79 : 164.69 = 164.69 : x
  2. Step 2: Convert to fraction form
    106.79/164.69 = 164.69/x
  3. Step 3: Cross multiply
    106.79x = 164.69 × 164.69
  4. Step 4: Simplify right side
    106.79x = 27,122.62
  5. Step 5: Solve for x
    x = 27,122.62/106.79
  6. Step 6: Final answer
    x = 253.99

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.